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Finding the Fourth Proportional to 1,231.08, 1,699.02 and 759.10

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Solution

The fourth proportional to 1,231.08, 1,699.02 and 759.10 is: 1,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.08 : 1,699.02 = 759.10 : x
  2. Step 2: Convert to fraction form
    1,231.08/1,699.02 = 759.10/x
  3. Step 3: Cross multiply
    1,231.08x = 1,699.02 × 759.10
  4. Step 4: Simplify right side
    1,231.08x = 1,289,726.08
  5. Step 5: Solve for x
    x = 1,289,726.08/1,231.08
  6. Step 6: Final answer
    x = 1,047.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.